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Finding the Fourth Proportional to 9,807.95, 13,536.86 and 6,271.49

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Solution

The fourth proportional to 9,807.95, 13,536.86 and 6,271.49 is: 8,655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.95 : 13,536.86 = 6,271.49 : x
  2. Step 2: Convert to fraction form
    9,807.95/13,536.86 = 6,271.49/x
  3. Step 3: Cross multiply
    9,807.95x = 13,536.86 × 6,271.49
  4. Step 4: Simplify right side
    9,807.95x = 84,896,284.61
  5. Step 5: Solve for x
    x = 84,896,284.61/9,807.95
  6. Step 6: Final answer
    x = 8,655.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.